Euclidean Forward–Reverse Brascamp–Lieb Inequalities: Finiteness, Structure, and Extremals

Abstract A new proof is given for the fact that centered Gaussian functions saturate the Euclidean forward–reverse Brascamp–Lieb inequalities, extending the Brascamp–Lieb and Barthe theorems. A duality principle for best constants is also developed, which generalizes the fact that the...

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Bibliographic Details
Main Authors: Courtade, Thomas A, Liu, Jingbo
Other Authors: Massachusetts Institute of Technology. Institute for Data, Systems, and Society
Format: Article
Language:English
Published: Springer US 2021
Online Access:https://hdl.handle.net/1721.1/132089